What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma, Rajna Rajić, Svetlana Zhilina

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in normed spaces of dimension at least three and can also compute the dimensions of the underlying normed spaces.

Original languageEnglish
Pages (from-to)197-218
Number of pages22
JournalPublicationes Mathematicae
Issue number1-2
StatePublished - 2023

Bibliographical note

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© 2023 University of Debrecen, Institute of Mathematics. All rights reserved.


  • Birkhoff-James orthogonality
  • clique
  • diameter
  • graph
  • normed vector space


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